What is the Greatest Common Factor of 6657 and 6664?

Greatest common factor (GCF) of 6657 and 6664 is 7.

GCF(6657,6664) = 7

We will now calculate the prime factors of 6657 and 6664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6657 and 6664.

How to find the GCF of 6657 and 6664?

We will first find the prime factorization of 6657 and 6664. After we will calculate the factors of 6657 and 6664 and find the biggest common factor number .

Step-1: Prime Factorization of 6657

Prime factors of 6657 are 3, 7, 317. Prime factorization of 6657 in exponential form is:

6657 = 3¹ × 7¹ × 317¹

Step-2: Prime Factorization of 6664

Prime factors of 6664 are 2, 7, 17. Prime factorization of 6664 in exponential form is:

6664 = 2³ × 7² × 17¹

Step-3: Factors of 6657

List of positive integer factors of 6657 that divides 6657 without a remainder.

1, 3, 7, 21, 317, 951, 2219

Step-4: Factors of 6664

List of positive integer factors of 6664 that divides 6657 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6657 and 6664. The biggest common factor number is the GCF number.
So the greatest common factor 6657 and 6664 is 7.

Also check out the Least Common Multiple of 6657 and 6664